Free Printable Pre-Calc Fall 2019- Semester 1 Midterm Review

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

7π/6=?

a)

300°

b)

30°

c)

120°

d)

210°

18.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

19.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

20.

cot 3π/4

a)

-√2/2

b)

-1

c)

1

d)

√2/2

21.

cot π/2

a)

undefined

b)

0

c)

1

d)

1/2

22.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

23.

What is the equivalent of 13π/6 in degrees?

a)

300^o

b)

330^o

c)

360^o

d)

390^o

24.

It refers to one complete cycle of the graph of the sine function.

a)

Domain

b)

Range

c)

Amplitude

d)

Period

25.

Tangent is...

a)

a. Opposite/hypotenuse

b)

b. sine/cosine

c)

c. neither a or b

d)

d. both a and b

26.

The hypotenuse of any right triangle from the center of the unit circle to an edge is always

a)

1

b)

sqt2/2

c)

sqt3/2

d)

1/2

27.

A negative angle goes in which direction...

a)

Counterclockwise

b)

Clockwise

28.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

29.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

30.

What is the shift for
y = 4 cos(x +π) - 2?
(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

up 2

b)

left 2

c)

right 2

d)

down 2

31.

The amplitude of a sine or cosine function can be described as the ______________________ of the function.

a)

mid-line (middle)

b)

vertical shift (translation)

c)

height/vertical stretch

32.

What is the equation of the graph shown?

a)

y=1/2cos2x

b)

y=1/2sin4x

c)

y=1/2cos4x

d)

y=4cos1/2x

33.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

34.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

35.

Where has the "x-axis" been moved for
y=2cos(1/3x +π/6) +2

a)

1/3

b)

-2

c)

2

d)

4

36.

How long it takes for a periodic function to repeat itself is called _?_

a)

amplitude

b)

period

c)

zeros

d)

asymptotes

37.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

38.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

39.

tan(sin^-1(-1/2))

a)

√3

b)

√3/3

c)

-√3

d)

-√3/3

40.

csc(cos^-1(√(3)/2))

a)

2

b)

-2

c)

2√3/3

d)

-2√3/3

41.

sec^-1(-2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

42.

cos^-1(0) =

a)

π/2

b)

π

c)

1

d)

none of these

43.

What range of angles for inverse cosine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

44.

What is the range of angles for inverse sine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

45.

What is the range of angles for inverse tangent?

a)

(0, π/2)

b)

(-π/2, π/2)

c)

(0, π)

d)

(0, 2π)

46.

tan(cos^-1(-1))=

a)

undefined

b)

0

c)

½

d)

1

47.

cos^-1(tan(-π/4))

a)

0

b)

π

c)

π/4

d)

3π/4

48.

What is the range of the equation
y = 2cos(2x)?

a)

All Real Numbers

b)

2

c)

y ≥ 2

d)

-2 ≤ y ≤2

49.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [-1, 1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

50.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

51.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

52.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

53.

What are the negative and positive coterminal angles of 240°?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

54.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

55.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

56.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

57.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

58.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

59.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

60.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

61.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

62.

If $\pi<\theta<\frac{3\pi}{2}$ and $\cos\theta=\frac{-8}{17}$ , find the value of sine and tangent.

a)

$\sin\theta=\frac{-15}{17}\ and\ \tan=\frac{15}{8}$

b)

$\sin\theta=\frac{17}{15\ }and\ \tan\theta=\frac{8}{15}$

c)

$\sin\theta=\frac{8}{15}\ and\ \tan\theta=\frac{-17}{15}$

d)

$\sin\theta=\frac{8}{17}\ and\ \tan\theta=\frac{8}{15}$

63.

If $\frac{\pi}{2}<\theta<\pi\ and\ \sin\theta=\frac{1}{2}$ , find the values of cosine and tangent.

a)

$\cos\theta=0\ and\ \tan\theta=1$

b)

$\cos\theta=\frac{\sqrt{3}}{2}\ and\ \tan\theta=1$

c)

$\cos\theta=\frac{1}{2}\ and\ \tan\theta=\sqrt{3}$

d)

$\cos\theta=\frac{-\sqrt{3}}{2}\ and\ \ \tan\theta=\frac{-\sqrt{3}}{3}$

Pre-Calc Fall 2019- Semester 1 Midterm Review

Total questions: 63

Worksheet time: 2hrs 42mins

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